## anonymous 3 years ago Are the two triangles similar? If so, how do you know? Figure is below

1. anonymous

2. anonymous

If all three sides are in the same ratio with the other triangle's sides, then it is similar.

3. anonymous

i.e.:$\frac{12}{8}=\frac{7.5}{5}$

4. anonymous

What theorem or postulate you think it would be?

5. anonymous

The one that says 'If all of triangle A's sides are in the same proportion to each of the matching sides of triangle B, A and B are similar' You could probably derive that from more fundamental principals.

6. anonymous

Did you see the figure above?

7. anonymous

Yes. 0M=1.5CA, ON=1.5CB, and MN=1.5AB

8. anonymous

Ah i see so if the triangle has to be proportionate to the other one they have to be equal on all sides?

9. anonymous

Yes, as therefore all the angles are forced into being the same.

10. anonymous

Ah never mind I get it

11. anonymous

So would you say it is SSS since its measured by its sides?

12. anonymous

Yes.

13. anonymous

Thank you so much

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